Finite Group Databasebeta

← Group #141317

Character table — Group #141317

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1122222222222444444448888888881616161616161616161616161616161632323232
order1222244448888448888884161616161616161644881616161616161616161616164444
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-11-111-111-1-1-1-111-1-11-1111-1-111-1-1i−ii−iii−i−iii−i−iii−i−i1-11-1
χ1011-1-11-111-111-1-1-1-111-1-11-1111-1-111-1-1i−ii−i−i−iii−i−iiiii−i−i-11-11
χ1111-1-11-111-111-1-1-1-111-1-11-1111-1-111-1-1−ii−iiii−i−iii−i−i−i−iii-11-11
χ1211-1-11-111-111-1-1-1-111-1-11-1111-1-111-1-1−ii−ii−i−iii−i−iii−i−iii1-11-1
χ1311-1-11-111-111-1-1-1-111-1-11-11-1-111-1-111i−ii−iii−i−i−i−iii−i−iii1-1-11
χ1411-1-11-111-111-1-1-1-111-1-11-11-1-111-1-111i−ii−i−i−iiiii−i−i−i−iii-111-1
χ1511-1-11-111-111-1-1-1-111-1-11-11-1-111-1-111−ii−iiii−i−i−i−iiiii−i−i-111-1
χ1611-1-11-111-111-1-1-1-111-1-11-11-1-111-1-111−ii−ii−i−iiiii−i−iii−i−i1-1-11
χ1722222222222-2-2-2-2-2-22-222-22222-2-2-2-200000000000000000000
χ1822222222222-2-2-2-2-2-22-222-2-2-2-2-2222200000000000000000000
χ19222222222-2-222-2-222-22-2-2-20000000022-2-20000000000000000
χ20222222222-2-222-2-222-22-2-2-200000000-2-2220000000000000000
χ21222222222-2-2-2-222-2-2-2-2-2-22000000000000000000002i−2i2i−2i0000
χ22222222222-2-2-2-222-2-2-2-2-2-2200000000000000000000−2i2i−2i2i0000
χ23222-2-222-2-222000000-20-22000002i−2i2i−2i0000i2−i2i2−i22−22−200000000
χ24222-2-222-2-222000000-20-22000002i−2i2i−2i0000−i2i2−i2i2−22−2200000000
χ25222-2-222-2-222000000-20-2200000−2i2i−2i2i0000i2−i2i2−i2−22−2200000000
χ26222-2-222-2-222000000-20-2200000−2i2i−2i2i0000−i2i2−i2i22−22−200000000
χ2722-22-2-22-222200000020-2-2000002i−2i−2i2i00002−2−22−i2i2i2−i200000000
χ2822-22-2-22-222200000020-2-2000002i−2i−2i2i0000−222−2i2−i2−i2i200000000
χ2922-22-2-22-222200000020-2-200000−2i2i2i−2i00002−2−22i2−i2−i2i200000000
χ3022-22-2-22-222200000020-2-200000−2i2i2i−2i0000−222−2−i2i2i2−i200000000
χ3122-2-22-222-2222222-2-2-222-2-222-2-2-2-22200000000000000000000
χ3222-2-22-222-2222222-2-2-222-2-2-2-22222-2-200000000000000000000
χ3322-2-22-222-2-2-222-2-2-2-222-222000000000000000000002-2-220000
χ3422-2-22-222-2-2-222-2-2-2-222-22200000000000000000000-222-20000
χ3522-2-22-222-2-2-2-2-222222-2-22-2000000002i−2i−2i2i0000000000000000
χ3622-2-22-222-2-2-2-2-222222-2-22-200000000−2i2i2i−2i0000000000000000
χ3744444-4-4-4-4000000000000022−2222−22000000000000000000000000
χ3844444-4-4-4-40000000000000−2222−2222000000000000000000000000
χ39444-4-444-4-4-4-4000000404-400000000000000000000000000000
χ40444-4-4-4-4440044004-40-40000000000000000000000000000000
χ41444-4-4-4-44400-4-400-44040000000000000000000000000000000
χ4244-44-44-44-4004400-440-40000000000000000000000000000000
χ4344-44-44-44-400-4-4004-4040000000000000000000000000000000
χ4444-44-4-44-44-4-4000000-404400000000000000000000000000000
χ4544-4-444-4-44000000000000022−22−2222000000000000000000000000
χ4644-4-444-4-440000000000000−222222−22000000000000000000000000
χ478-8000000042−4242−424-400000000000000000000000000000000000
χ488-8000000042−42−4242-4400000000000000000000000000000000000
χ498-80000000−424242−42-4400000000000000000000000000000000000
χ508-80000000−4242−42424-400000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).